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Finding the Fourth Proportional to 476,554.29, 714,831.71 and 299,185.88

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Solution

The fourth proportional to 476,554.29, 714,831.71 and 299,185.88 is: 448,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,554.29 : 714,831.71 = 299,185.88 : x
  2. Step 2: Convert to fraction form
    476,554.29/714,831.71 = 299,185.88/x
  3. Step 3: Cross multiply
    476,554.29x = 714,831.71 × 299,185.88
  4. Step 4: Simplify right side
    476,554.29x = 213,867,549,138.17
  5. Step 5: Solve for x
    x = 213,867,549,138.17/476,554.29
  6. Step 6: Final answer
    x = 448,778.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.